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Finding the Fourth Proportional to 9,414.16, 12,994.08 and 5,875.24

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Solution

The fourth proportional to 9,414.16, 12,994.08 and 5,875.24 is: 8,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.16 : 12,994.08 = 5,875.24 : x
  2. Step 2: Convert to fraction form
    9,414.16/12,994.08 = 5,875.24/x
  3. Step 3: Cross multiply
    9,414.16x = 12,994.08 × 5,875.24
  4. Step 4: Simplify right side
    9,414.16x = 76,343,338.58
  5. Step 5: Solve for x
    x = 76,343,338.58/9,414.16
  6. Step 6: Final answer
    x = 8,109.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.